## PRP Records

### Probable Primes Top 10000

#### (295149 PRPs in the top)

What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!

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See the Latest PRPs
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 1-250 251-500 501-750 751-1000 1001-1250 1251-1500 1501-1750 1751-2000 2001-2250 2251-2500 2501-2750 2751-3000 3001-3250 3251-3500 3501-3750 3751-4000 4001-4250 4251-4500 4501-4750 4751-5000 5001-5250 5251-5500 5501-5750 5751-6000 6001-6250 6251-6500 6501-6750 6751-7000 7001-7250 7251-7500 7501-7750 7751-8000 8001-8250 8251-8500 8501-8750 8751-9000 9001-9250 9251-9500 9501-9750 9751-10000

 Rank Probable prime Digits (> 50000) Who ? When ? 8001 2^338548+138121 101914 Stefano Morozzi 05/2022 8002 2^338550-110301 101914 Stefano Morozzi 06/2022 8003 2^338547+129321 101913 Stefano Morozzi 01/2022 8004 2^338547-153481 101913 Stefano Morozzi 01/2022 8005 2^338545-11059 101913 Stefano Morozzi 12/2022 8006 2^338544+107853 101912 Stefano Morozzi 02/2022 8007 2^338542+172813 101912 Stefano Morozzi 11/2022 8008 2^338544-12687 101912 Stefano Morozzi 12/2022 8009 2^338543-140677 101912 Stefano Morozzi 01/2023 8010 2^338541+152721 101911 Stefano Morozzi 01/2022 8011 2^338539+60825 101911 Stefano Morozzi 03/2022 8012 2^338539+160881 101911 Stefano Morozzi 03/2022 8013 2^338541-182523 101911 Stefano Morozzi 03/2022 8014 2^338540+87645 101911 Stefano Morozzi 04/2022 8015 2^338541+148305 101911 Stefano Morozzi 11/2022 8016 2^338541-163075 101911 Stefano Morozzi 12/2022 8017 2^338536-100785 101910 Stefano Morozzi 12/2021 8018 2^338535-51837 101910 Stefano Morozzi 12/2021 8019 2^338535-158745 101910 Stefano Morozzi 04/2022 8020 2^338536-189977 101910 Stefano Morozzi 01/2023 8021 2^338537-65623 101910 Stefano Morozzi 01/2023 8022 2^338532+39445 101909 Stefano Morozzi 05/2022 8023 2^338532+141415 101909 Stefano Morozzi 06/2022 8024 2^338532-136037 101909 Stefano Morozzi 06/2022 8025 2^338531+81081 101908 Stefano Morozzi 01/2022 8026 2^338530+59835 101908 Stefano Morozzi 03/2022 8027 2^338529+186551 101908 Stefano Morozzi 04/2022 8028 2^338531+61313 101908 Stefano Morozzi 04/2022 8029 2^338531-9277 101908 Stefano Morozzi 04/2022 8030 2^338528-92727 101908 Stefano Morozzi 02/2023 8031 2^338527+191205 101907 Stefano Morozzi 06/2022 8032 2^338525+99621 101907 Stefano Morozzi 02/2023 8033 2^338524+54421 101906 Stefano Morozzi 01/2022 8034 2^338522-155811 101906 Stefano Morozzi 02/2022 8035 2^338523-16291 101906 Stefano Morozzi 01/2023 8036 2^338522-142137 101906 Stefano Morozzi 02/2023 8037 2^338521+183131 101905 Stefano Morozzi 02/2022 8038 2^338520+34945 101905 Stefano Morozzi 03/2022 8039 2^338518-182885 101905 Stefano Morozzi 04/2022 8040 2^338518+114633 101905 Stefano Morozzi 05/2022 8041 2^338518-12621 101905 Stefano Morozzi 12/2022 8042 2^338518-187325 101905 Stefano Morozzi 12/2022 8050 (9*2^338520+1)/365 101904 Lelio R Paula 12/2013 8043 2^338517-125955 101904 Stefano Morozzi 12/2021 8044 2^338517+126437 101904 Stefano Morozzi 12/2021 8045 2^338517-53499 101904 Stefano Morozzi 01/2022 8046 2^338515+30369 101904 Stefano Morozzi 01/2022 8047 2^338517-184623 101904 Stefano Morozzi 04/2022 8048 2^338515+89333 101904 Stefano Morozzi 05/2022 8049 2^338515+198813 101904 Stefano Morozzi 02/2023 8053 24502^14419+14419^24502 101903 Hans Havermann 01/2019 8051 2^338512-827 101903 Stefano Morozzi 12/2021 8052 2^338514-6611 101903 Stefano Morozzi 03/2022 8054 2^338509+5139 101902 Stefano Morozzi 01/2022 8055 2^338509+40205 101902 Stefano Morozzi 06/2022 8056 2^338511+19959 101902 Stefano Morozzi 09/2022 8057 2^338510-37877 101902 Stefano Morozzi 12/2022 8058 2^338507-188655 101901 Stefano Morozzi 12/2022 8059 2^338507-114457 101901 Stefano Morozzi 01/2023 8060 2^338504-152615 101900 Stefano Morozzi 01/2022 8061 2^338502-4587 101900 Stefano Morozzi 02/2022 8062 2^338502-166275 101900 Stefano Morozzi 01/2023 8063 2^338500-26865 101899 Stefano Morozzi 12/2021 8064 2^338501-177471 101899 Stefano Morozzi 12/2021 8065 2^338499-3915 101899 Stefano Morozzi 01/2022 8066 2^338501+32051 101899 Stefano Morozzi 02/2022 8067 2^338499+183533 101899 Stefano Morozzi 03/2022 8068 2^338500+35625 101899 Stefano Morozzi 03/2022 8069 2^338499+87579 101899 Stefano Morozzi 04/2022 8070 2^338498-117683 101899 Stefano Morozzi 02/2023 8073 2^338497-17041 101898 Enzo Doria 05/2013 8071 2^338497+150405 101898 Stefano Morozzi 11/2021 8072 2^338495+100533 101898 Stefano Morozzi 12/2021 8074 2^338494+36057 101897 Stefano Morozzi 03/2022 8075 2^338492+39015 101897 Stefano Morozzi 05/2022 8076 2^338494+168007 101897 Stefano Morozzi 09/2022 8077 2^338490+61149 101896 Stefano Morozzi 03/2022 8078 2^338489+161369 101896 Stefano Morozzi 04/2022 8079 2^338491+22961 101896 Stefano Morozzi 11/2022 8080 2^338487-3555 101895 Stefano Morozzi 01/2022 8081 2^338487-183129 101895 Stefano Morozzi 04/2022 8082 2^338484+128767 101894 Stefano Morozzi 01/2022 8083 2^338484-31895 101894 Stefano Morozzi 03/2022 8084 2^338483-67899 101894 Stefano Morozzi 02/2023 8085 2^338483-192129 101894 Stefano Morozzi 02/2023 8086 2^338478+10893 101893 Stefano Morozzi 03/2022 8087 2^338479+87243 101893 Stefano Morozzi 04/2022 8088 2^338479+167619 101893 Stefano Morozzi 09/2022 8089 2^338480+197503 101893 Stefano Morozzi 11/2022 8090 2^338481-11421 101893 Stefano Morozzi 12/2022 8091 2^338479-89649 101893 Stefano Morozzi 01/2023 8092 (29*34^66532-12833)/33 101893 Eric Chen 03/2023 8095 2^338475+54615 101892 Lelio R Paula 10/2016 8093 2^338475-59775 101892 Stefano Morozzi 04/2022 8094 2^338476-134237 101892 Stefano Morozzi 04/2022 8096 2^338474+100767 101891 Stefano Morozzi 11/2021 8097 2^338474+81165 101891 Stefano Morozzi 01/2022 8098 2^338474+41137 101891 Stefano Morozzi 06/2022 8099 2^338472-110445 101891 Stefano Morozzi 06/2022 8100 2^338473-89535 101891 Stefano Morozzi 01/2023 8101 2^338470+27777 101890 Stefano Morozzi 01/2022 8102 2^338468+31351 101890 Stefano Morozzi 01/2022 8103 2^338469-106339 101890 Stefano Morozzi 03/2022 8104 2^338471+187469 101890 Stefano Morozzi 04/2022 8105 2^338468+96613 101890 Stefano Morozzi 11/2022 8106 2^338469+46167 101890 Stefano Morozzi 11/2022 8107 2^338470+71527 101890 Stefano Morozzi 11/2022 8108 2^338469-112783 101890 Stefano Morozzi 12/2022 8109 2^338470-115665 101890 Stefano Morozzi 01/2023 8110 2^338467-25665 101889 Stefano Morozzi 12/2021 8111 2^338465+152139 101889 Stefano Morozzi 12/2021 8112 2^338466-28643 101889 Stefano Morozzi 01/2022 8113 2^338465+181517 101889 Stefano Morozzi 01/2022 8114 2^338466+115917 101889 Stefano Morozzi 06/2022 8115 2^338465-88291 101889 Stefano Morozzi 12/2022 8116 2^338464-104009 101888 Stefano Morozzi 02/2022 8117 2^338463+185169 101888 Stefano Morozzi 03/2022 8118 2^338464+60595 101888 Stefano Morozzi 03/2022 8119 2^338464-66377 101888 Stefano Morozzi 01/2023 8120 2^338458+60273 101887 Stefano Morozzi 03/2022 8121 2^338461+135867 101887 Stefano Morozzi 03/2022 8122 2^338455-4621 101886 Stefano Morozzi 02/2022 8123 2^338457+187827 101886 Stefano Morozzi 04/2022 8124 2^338455+173349 101886 Stefano Morozzi 11/2022 8125 2^338454+133737 101885 Stefano Morozzi 03/2022 8126 2^338454-158501 101885 Stefano Morozzi 04/2022 8127 2^338454-184217 101885 Stefano Morozzi 04/2022 8128 2^338453+164451 101885 Stefano Morozzi 05/2022 8129 2^338452-136137 101885 Stefano Morozzi 12/2022 8130 2^338450+106275 101884 Stefano Morozzi 01/2022 8131 2^338450+168439 101884 Stefano Morozzi 09/2022 8132 (133*10^101881+17)/3 101883 Robert Price 11/2021 8133 2^338445-80461 101883 Stefano Morozzi 02/2022 8134 2^338446-131211 101883 Stefano Morozzi 02/2022 8135 2^338448+187167 101883 Stefano Morozzi 04/2022 8136 2^338446-160115 101883 Stefano Morozzi 06/2022 8137 2^338447-164157 101883 Stefano Morozzi 01/2023 8138 2^338447-191001 101883 Stefano Morozzi 01/2023 8139 2^338444+127623 101882 Stefano Morozzi 12/2021 8140 2^338443-113827 101882 Stefano Morozzi 12/2022 8141 2^338441-5893 101881 Stefano Morozzi 02/2022 8142 2^338439-162565 101881 Stefano Morozzi 12/2022 8143 2^338436+153657 101880 Stefano Morozzi 01/2022 8144 2^338437-153159 101880 Stefano Morozzi 01/2022 8145 2^338436-83783 101880 Stefano Morozzi 04/2022 8146 2^338435+89109 101880 Stefano Morozzi 05/2022 8147 2^338435+13871 101880 Stefano Morozzi 05/2022 8148 2^338436+149691 101880 Stefano Morozzi 02/2023 8149 2^338434+81537 101879 Stefano Morozzi 01/2022 8150 2^338432+33495 101879 Stefano Morozzi 03/2022 8151 2^338432-7043 101879 Stefano Morozzi 03/2022 8152 2^338433-32629 101879 Stefano Morozzi 03/2022 8153 2^338430-9903 101878 Stefano Morozzi 04/2022 8161 2^338426-19797 101877 Enzo Doria 06/2013 8154 2^338427-77797 101877 Stefano Morozzi 01/2022 8155 2^338427-178687 101877 Stefano Morozzi 01/2022 8156 2^338428-54873 101877 Stefano Morozzi 02/2022 8157 2^338425+41357 101877 Stefano Morozzi 06/2022 8158 2^338428+90855 101877 Stefano Morozzi 06/2022 8159 2^338428-39807 101877 Stefano Morozzi 01/2023 8160 2^338425-192381 101877 Stefano Morozzi 02/2023 8162 2^338422-188787 101876 Stefano Morozzi 12/2022 8163 2^338423-187755 101876 Stefano Morozzi 12/2022 8164 2^338422-115865 101876 Stefano Morozzi 01/2023 8165 2^338420-178829 101875 Stefano Morozzi 01/2022 8166 2^338421-105423 101875 Stefano Morozzi 02/2022 8167 2^338419-82761 101875 Stefano Morozzi 03/2022 8168 2^338420+193143 101875 Stefano Morozzi 09/2022 8169 2^338419+199641 101875 Stefano Morozzi 02/2023 8170 2^338420-143103 101875 Stefano Morozzi 02/2023 8171 2^338418-50903 101874 Stefano Morozzi 12/2021 8172 2^338418+158355 101874 Stefano Morozzi 02/2022 8173 2^338418+159339 101874 Stefano Morozzi 03/2022 8174 2^338416+14953 101874 Stefano Morozzi 05/2022 8175 2^338416+166051 101874 Stefano Morozzi 06/2022 8176 2^338418-138765 101874 Stefano Morozzi 12/2022 8177 2^338417+49737 101874 Stefano Morozzi 02/2023 8178 2^338413-125919 101873 Stefano Morozzi 12/2021 8179 2^338414+26083 101873 Stefano Morozzi 12/2021 8180 2^338412-152379 101873 Stefano Morozzi 12/2021 8181 2^338413+54797 101873 Stefano Morozzi 01/2022 8182 2^338412+157951 101873 Stefano Morozzi 02/2022 8183 2^338414+81627 101873 Stefano Morozzi 02/2022 8184 2^338413+133679 101873 Stefano Morozzi 03/2022 8185 2^338413+197735 101873 Stefano Morozzi 11/2022 8186 2^338413-114301 101873 Stefano Morozzi 01/2023 8187 11*32^67682+395 101873 Eric Chen 04/2023 8188 2^338409-52183 101872 Stefano Morozzi 12/2021 8189 2^338411-3789 101872 Stefano Morozzi 01/2022 8190 2^338409+173237 101872 Stefano Morozzi 11/2022 8191 2^338406-184175 101871 Stefano Morozzi 04/2022 8192 2^338405+94451 101871 Stefano Morozzi 09/2022 8193 2^338406-161217 101871 Stefano Morozzi 12/2022 8194 2^338406+199929 101871 Stefano Morozzi 02/2023 8195 2^338404+55717 101870 Stefano Morozzi 01/2022 8196 2^338403+36261 101870 Stefano Morozzi 04/2022 8197 2^338402-34431 101870 Stefano Morozzi 04/2022 8198 2^338404-159215 101870 Stefano Morozzi 04/2022 8199 2^338403+18363 101870 Stefano Morozzi 09/2022 8200 2^338403+170235 101870 Stefano Morozzi 11/2022 8201 2^338399+23045 101869 Stefano Morozzi 11/2022 8202 2^338399-65535 101869 Stefano Morozzi 01/2023 8203 2^338395-127449 101868 Stefano Morozzi 12/2021 8204 2^338398-127637 101868 Stefano Morozzi 01/2022 8205 2^338398-166533 101868 Stefano Morozzi 01/2023 8206 2^338394+100317 101867 Stefano Morozzi 11/2021 8207 2^338393-152749 101867 Stefano Morozzi 01/2022 8208 2^338393+163025 101867 Stefano Morozzi 04/2022 8209 2^338393+89229 101867 Stefano Morozzi 05/2022 8210 2^338393+99647 101867 Stefano Morozzi 02/2023 8211 2^338394-192471 101867 Stefano Morozzi 02/2023 8212 2^338390+76627 101866 Stefano Morozzi 12/2021 8213 2^338389-85081 101866 Stefano Morozzi 06/2022 8214 2^338390+148113 101866 Stefano Morozzi 11/2022 8215 2^338389-14253 101866 Stefano Morozzi 01/2023 8216 2^338390-114297 101866 Stefano Morozzi 01/2023 8217 2^338391-64225 101866 Stefano Morozzi 01/2023 8218 2^338389-16971 101866 Stefano Morozzi 02/2023 8219 2^338387-75685 101865 Stefano Morozzi 12/2021 8220 2^338388-53459 101865 Stefano Morozzi 01/2022 8221 2^338388-36575 101865 Stefano Morozzi 12/2022 8222 2^338385-190311 101865 Stefano Morozzi 01/2023 8223 2^338384+131563 101864 Stefano Morozzi 01/2022 8224 2^338382+109069 101864 Stefano Morozzi 03/2022 8225 2^338384+168987 101864 Stefano Morozzi 09/2022 8226 2^338383-42367 101864 Stefano Morozzi 02/2023 8227 2^338380+77125 101863 Stefano Morozzi 12/2021 8228 2^338381-35539 101863 Stefano Morozzi 06/2022 8229 2^338378-125841 101862 Stefano Morozzi 12/2021 8230 2^338375+27815 101862 Stefano Morozzi 01/2022 8231 2^338375-28509 101862 Stefano Morozzi 01/2022 8232 2^338375+29985 101862 Stefano Morozzi 01/2022 8233 2^338377+157881 101862 Stefano Morozzi 02/2022 8234 2^338375+59589 101862 Stefano Morozzi 03/2022 8235 2^338378+36399 101862 Stefano Morozzi 04/2022 8236 2^338378-159773 101862 Stefano Morozzi 04/2022 8237 2^338378+14883 101862 Stefano Morozzi 05/2022 8238 2^338376+140173 101862 Stefano Morozzi 06/2022 8239 2^338375+18761 101862 Stefano Morozzi 09/2022 8240 2^338373-75103 101861 Stefano Morozzi 12/2021 8241 2^338372+128877 101861 Stefano Morozzi 01/2022 8242 2^338374-28731 101861 Stefano Morozzi 01/2022 8243 2^338374-128427 101861 Stefano Morozzi 01/2022 8244 2^338372+37875 101861 Stefano Morozzi 04/2022 8245 2^338373+161541 101861 Stefano Morozzi 04/2022 8246 2^338374+37759 101861 Stefano Morozzi 04/2022 8247 2^338372+93235 101861 Stefano Morozzi 09/2022 8248 2^338373-63273 101861 Stefano Morozzi 12/2022 8249 2^338369+29427 101860 Stefano Morozzi 01/2022 8250 2^338370+179133 101860 Stefano Morozzi 01/2022

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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 22 2024 21:19 (Time in France)

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